18254985984 has 288 divisors, whose sum is σ = 57166592000. Its totient is φ = 5730103296.

The previous prime is 18254985953. The next prime is 18254986021. The reversal of 18254985984 is 48958945281.

18254985984 is a `hidden beast` number, since 1 + 8 + 2 + 549 + 8 + 5 + 9 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30073809 + ... + 30074415.

Almost surely, 2^18254985984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18254985984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28583296000).

18254985984 is an abundant number, since it is smaller than the sum of its proper divisors (38911606016).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

18254985984 is a wasteful number, since it uses less digits than its factorization.

18254985984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 860 counting only the distinct ones).

The product of its digits is 33177600, while the sum is 63.

The spelling of 18254985984 in words is "eighteen billion, two hundred fifty-four million, nine hundred eighty-five thousand, nine hundred eighty-four".